若A=√(√2-1)^2 则A的倒数是
问题描述:
若A=√(√2-1)^2 则A的倒数是
答
∵√2>1 ∴A=√(√2-1)^2=√2-1 ∴A的倒数=1/(√2-1) =(√2+1)/(√2+1)(√2-1) =√2+1
若A=√(√2-1)^2 则A的倒数是
∵√2>1 ∴A=√(√2-1)^2=√2-1 ∴A的倒数=1/(√2-1) =(√2+1)/(√2+1)(√2-1) =√2+1